Biot-Savart Law
PHXII04:MOVING CHARGES AND MAGNETISM

362626 A thin hemispherical shell having a uniform surface charge density \({\sigma}\) spins with an angular speed \({\omega}\). If the magnetic field at \({O}\) is found to be \({\dfrac{N \mu_{0} \sigma \omega}{3}}\), find the value of \({N}\).
supporting img

1 \(\frac{{2\,{\mu _0}\sigma \omega }}{3}\)
2 \(\frac{{5\,{\mu _0}\sigma \omega }}{2}\)
3 \(\frac{{4\,{\mu _0}\sigma \omega }}{1}\)
4 \(\frac{{7\,{\mu _0}\sigma \omega }}{5}\)
PHXII04:MOVING CHARGES AND MAGNETISM

362627 In the hydrogen atom, the electron is making \(6.6 \times {10^{15}}rps\). If the radius of the orbit is \(0.53 \times {10^{ - 10}}\;m\), then magnetic field produced at the centre of the orbit is

1 \(140\;T\)
2 \(12.5\;T\)
3 \(1.4\;T\)
4 \(0.14\;T\)
PHXII04:MOVING CHARGES AND MAGNETISM

362628 Charge \(q\) is uniformly spread on a thin ring of radius \(R\). The ring rotates about its axis with a uniform frequency \(f\;Hz\). The magnitude of magnetic induction at the centre of the ring is

1 \(\dfrac{\mu_{0} q f}{2 R}\)
2 \(\dfrac{\mu_{0} q}{2 f R}\)
3 \(\dfrac{\mu_{0} q}{2 \pi f R}\)
4 \(\dfrac{\mu_{0} q f}{2 \pi R}\)
PHXII04:MOVING CHARGES AND MAGNETISM

362629 A charge of 1\(C\) is placed at one end of a conducting rod of length 0.6\(m\). The rod is rotated in a vertical plane about a horizontal axis passing through the other end of the rod with angular frequency \(10^{4} \pi \mathrm{rads}^{-1}\). The magnetic field at a point on the axis of rotation at a distance of \(0.8 m\) from the centre of the path is \(B_{1}\). Now, half of the charge is removed from one end and placed on the other end. The rod is rotated in a vertical plane about a horizontal axis passing through the midpoint of the rod with same angular frequency. The magnetic field at a point on the axis at a distance of 0.4\(m\) from the centre of the rod is \(B_{2}\) then \(\dfrac{B_{2}}{B_{1}}=\)

1 4
2 8
3 2
4 \(2^{1 / 3}\)
NEET Test Series from KOTA - 10 Papers In MS WORD WhatsApp Here
PHXII04:MOVING CHARGES AND MAGNETISM

362626 A thin hemispherical shell having a uniform surface charge density \({\sigma}\) spins with an angular speed \({\omega}\). If the magnetic field at \({O}\) is found to be \({\dfrac{N \mu_{0} \sigma \omega}{3}}\), find the value of \({N}\).
supporting img

1 \(\frac{{2\,{\mu _0}\sigma \omega }}{3}\)
2 \(\frac{{5\,{\mu _0}\sigma \omega }}{2}\)
3 \(\frac{{4\,{\mu _0}\sigma \omega }}{1}\)
4 \(\frac{{7\,{\mu _0}\sigma \omega }}{5}\)
PHXII04:MOVING CHARGES AND MAGNETISM

362627 In the hydrogen atom, the electron is making \(6.6 \times {10^{15}}rps\). If the radius of the orbit is \(0.53 \times {10^{ - 10}}\;m\), then magnetic field produced at the centre of the orbit is

1 \(140\;T\)
2 \(12.5\;T\)
3 \(1.4\;T\)
4 \(0.14\;T\)
PHXII04:MOVING CHARGES AND MAGNETISM

362628 Charge \(q\) is uniformly spread on a thin ring of radius \(R\). The ring rotates about its axis with a uniform frequency \(f\;Hz\). The magnitude of magnetic induction at the centre of the ring is

1 \(\dfrac{\mu_{0} q f}{2 R}\)
2 \(\dfrac{\mu_{0} q}{2 f R}\)
3 \(\dfrac{\mu_{0} q}{2 \pi f R}\)
4 \(\dfrac{\mu_{0} q f}{2 \pi R}\)
PHXII04:MOVING CHARGES AND MAGNETISM

362629 A charge of 1\(C\) is placed at one end of a conducting rod of length 0.6\(m\). The rod is rotated in a vertical plane about a horizontal axis passing through the other end of the rod with angular frequency \(10^{4} \pi \mathrm{rads}^{-1}\). The magnetic field at a point on the axis of rotation at a distance of \(0.8 m\) from the centre of the path is \(B_{1}\). Now, half of the charge is removed from one end and placed on the other end. The rod is rotated in a vertical plane about a horizontal axis passing through the midpoint of the rod with same angular frequency. The magnetic field at a point on the axis at a distance of 0.4\(m\) from the centre of the rod is \(B_{2}\) then \(\dfrac{B_{2}}{B_{1}}=\)

1 4
2 8
3 2
4 \(2^{1 / 3}\)
PHXII04:MOVING CHARGES AND MAGNETISM

362626 A thin hemispherical shell having a uniform surface charge density \({\sigma}\) spins with an angular speed \({\omega}\). If the magnetic field at \({O}\) is found to be \({\dfrac{N \mu_{0} \sigma \omega}{3}}\), find the value of \({N}\).
supporting img

1 \(\frac{{2\,{\mu _0}\sigma \omega }}{3}\)
2 \(\frac{{5\,{\mu _0}\sigma \omega }}{2}\)
3 \(\frac{{4\,{\mu _0}\sigma \omega }}{1}\)
4 \(\frac{{7\,{\mu _0}\sigma \omega }}{5}\)
PHXII04:MOVING CHARGES AND MAGNETISM

362627 In the hydrogen atom, the electron is making \(6.6 \times {10^{15}}rps\). If the radius of the orbit is \(0.53 \times {10^{ - 10}}\;m\), then magnetic field produced at the centre of the orbit is

1 \(140\;T\)
2 \(12.5\;T\)
3 \(1.4\;T\)
4 \(0.14\;T\)
PHXII04:MOVING CHARGES AND MAGNETISM

362628 Charge \(q\) is uniformly spread on a thin ring of radius \(R\). The ring rotates about its axis with a uniform frequency \(f\;Hz\). The magnitude of magnetic induction at the centre of the ring is

1 \(\dfrac{\mu_{0} q f}{2 R}\)
2 \(\dfrac{\mu_{0} q}{2 f R}\)
3 \(\dfrac{\mu_{0} q}{2 \pi f R}\)
4 \(\dfrac{\mu_{0} q f}{2 \pi R}\)
PHXII04:MOVING CHARGES AND MAGNETISM

362629 A charge of 1\(C\) is placed at one end of a conducting rod of length 0.6\(m\). The rod is rotated in a vertical plane about a horizontal axis passing through the other end of the rod with angular frequency \(10^{4} \pi \mathrm{rads}^{-1}\). The magnetic field at a point on the axis of rotation at a distance of \(0.8 m\) from the centre of the path is \(B_{1}\). Now, half of the charge is removed from one end and placed on the other end. The rod is rotated in a vertical plane about a horizontal axis passing through the midpoint of the rod with same angular frequency. The magnetic field at a point on the axis at a distance of 0.4\(m\) from the centre of the rod is \(B_{2}\) then \(\dfrac{B_{2}}{B_{1}}=\)

1 4
2 8
3 2
4 \(2^{1 / 3}\)
PHXII04:MOVING CHARGES AND MAGNETISM

362626 A thin hemispherical shell having a uniform surface charge density \({\sigma}\) spins with an angular speed \({\omega}\). If the magnetic field at \({O}\) is found to be \({\dfrac{N \mu_{0} \sigma \omega}{3}}\), find the value of \({N}\).
supporting img

1 \(\frac{{2\,{\mu _0}\sigma \omega }}{3}\)
2 \(\frac{{5\,{\mu _0}\sigma \omega }}{2}\)
3 \(\frac{{4\,{\mu _0}\sigma \omega }}{1}\)
4 \(\frac{{7\,{\mu _0}\sigma \omega }}{5}\)
PHXII04:MOVING CHARGES AND MAGNETISM

362627 In the hydrogen atom, the electron is making \(6.6 \times {10^{15}}rps\). If the radius of the orbit is \(0.53 \times {10^{ - 10}}\;m\), then magnetic field produced at the centre of the orbit is

1 \(140\;T\)
2 \(12.5\;T\)
3 \(1.4\;T\)
4 \(0.14\;T\)
PHXII04:MOVING CHARGES AND MAGNETISM

362628 Charge \(q\) is uniformly spread on a thin ring of radius \(R\). The ring rotates about its axis with a uniform frequency \(f\;Hz\). The magnitude of magnetic induction at the centre of the ring is

1 \(\dfrac{\mu_{0} q f}{2 R}\)
2 \(\dfrac{\mu_{0} q}{2 f R}\)
3 \(\dfrac{\mu_{0} q}{2 \pi f R}\)
4 \(\dfrac{\mu_{0} q f}{2 \pi R}\)
PHXII04:MOVING CHARGES AND MAGNETISM

362629 A charge of 1\(C\) is placed at one end of a conducting rod of length 0.6\(m\). The rod is rotated in a vertical plane about a horizontal axis passing through the other end of the rod with angular frequency \(10^{4} \pi \mathrm{rads}^{-1}\). The magnetic field at a point on the axis of rotation at a distance of \(0.8 m\) from the centre of the path is \(B_{1}\). Now, half of the charge is removed from one end and placed on the other end. The rod is rotated in a vertical plane about a horizontal axis passing through the midpoint of the rod with same angular frequency. The magnetic field at a point on the axis at a distance of 0.4\(m\) from the centre of the rod is \(B_{2}\) then \(\dfrac{B_{2}}{B_{1}}=\)

1 4
2 8
3 2
4 \(2^{1 / 3}\)